Abstract. We show that decimation transformations applied to high-$q$ Potts
models result in non-Gibbsian measures even for temperatures higher
than the transition temperature. We also show that majority
transformations applied to the Ising model in a very strong field at
low temperatures produce non-Gibbsian measures. This shows that
pathological behavior of renormalization-group transformations is even
more widespread than previous examples already suggested.